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The DWP quote 16 weeks for a new claim, there have been delays in the assessment process so it could be longer.
Basically you are aiming for the a new Decision to be made the day after your current award ends so that there is no period without payment.
The other thing to consider is whether you would reasonably receive the same result, less or more. If less then you want the new Decision to be made as late as possible as the new award will be applied immediately, if more then as soon as possible.
Gordon